Which set represents the range of the function shown? {(-1, 5), (2, 8), (5, 3), (13, -4)}
{-1, 2, 5, 13}
{-4, 3, 5, 8}
{(5, -1),(8, 2),(3, 5),(-4, 13)}
{-4, -1, 2, 3, 5, 5, 8, 13}

Solution:

Given, the relation is r = {(-1, 5), (2, 8), (5, 3), (13, -4)}

A relation R from a non-empty set B is a subset of the cartesian product A × B.

The subset is derived by describing a relationship between the first element and the second element of the ordered pairs in A × B.

For an ordered pair (x,y) that a set contain:

x = domain, y = range

In a relation x can have 2 or more than 2 ranges.

Range = 5, 8, 3, -4

Therefore, the range is {5, 8, 3, -4}.

Which set represents the range of the function shown? {(-1, 5), (2, 8), (5, 3), (13, -4)}

Summary:

The set that represents the range of the function {(-1, 5), (2, 8), (5, 3), (13, -4)} is {5, 8, 3, -4}.